Question

Compare the following fractions:

pls explain step by step

⅜ and ⁸/¹¹​

Answer 1

$\LARGE{\bf{\underline{\underline{Question:-}}}}$

Compare the following fractions:

$\dfrac{3}{8}$ and $\dfrac{8}{11}$

$\LARGE{\bf{\underline{\underline{Solution:-}}}}$

So firstly let us find the LCM

So, the denominator becomes same.

$\Large{ \begin{array}{c|c} \tt 2 & \sf{ 8 , 11 } \\ \cline{1-2} \tt 2 & \sf { 4, 11} \\ \cline{1-2} \tt 2 & \sf{ 2 , 11} \\ \cline{1-2} \tt 11 & \sf{ 1, 11}\\ \cline{1-2} & \sf{ 1 , 1 , 1} \end{array}}$

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L.C.M of 8 and 11 = 88

• $\dfrac{3}{8}$

$=\dfrac{3\times 11}{8\times 11}$

$= \dfrac{33}{88}$

• $\dfrac{8}{11}$

$= \dfrac{8\times 8}{11\times 8}$

$= \dfrac{64}{88}$

So,

$\dfrac{64}{88}$ > $\dfrac{33}{88}$

Thus,

⟹ $\dfrac{8}{11}$ > $\dfrac{3}{8}$

Answer 2

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